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Finding the Fourth Proportional to 2,794.33, 3,853.63 and 2,234.82

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Solution

The fourth proportional to 2,794.33, 3,853.63 and 2,234.82 is: 3,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.33 : 3,853.63 = 2,234.82 : x
  2. Step 2: Convert to fraction form
    2,794.33/3,853.63 = 2,234.82/x
  3. Step 3: Cross multiply
    2,794.33x = 3,853.63 × 2,234.82
  4. Step 4: Simplify right side
    2,794.33x = 8,612,174.07
  5. Step 5: Solve for x
    x = 8,612,174.07/2,794.33
  6. Step 6: Final answer
    x = 3,082.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.